10005005006055 has 32 divisors (see below), whose sum is σ = 18722816390400. Its totient is φ = 5055160422816.

The previous prime is 10005005006047. The next prime is 10005005006071. The reversal of 10005005006055 is 55060050050001.

10005005006055 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 5 + 0 + 0 + 50 + 0 + 605 + 5 = 666.

It is not a de Polignac number, because 10005005006055 - 2³ = 10005005006047 is a prime.

It is a super-3 number, since 3×10005005006055³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1950290809 + ... + 1950295938.

It is an arithmetic number, because the mean of its divisors is an integer number (585088012200).

Almost surely, 2^{10005005006055} is an apocalyptic number.

10005005006055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10005005006055 is a deficient number, since it is larger than the sum of its proper divisors (8717811384345).

10005005006055 is a wasteful number, since it uses less digits than its factorization.

10005005006055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3900586780 (or 3900586774 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

Adding to 10005005006055 its reverse (55060050050001), we get a palindrome (65065055056056).

The spelling of 10005005006055 in words is "ten trillion, five billion, five million, six thousand, fifty-five".